In our previous work we analyzed the diagrams which contribute to \(2\rightarrow 2\)  massive spin-2 mode scattering for several variants of the Randall-Sundrum I model; within each of these analyses, we found there exist individual diagrams which diverge as fast as \(\mathcal {O}(s^{5})\)  at high energies (\(s\)  being the usual Mandelstam parameter) and that cancellations between diagrams ensure the total matrix element only grows as fast as \(\mathcal {O}(s)\)  [1]}, [2]}, [3]}, [4]}. This genuine \(\mathcal {O}(s)\)  growth is important because it insures the 4D effective theory breaks down at an energy scale consistent with the physics of the underlying extra-dimensional theory. The central purpose of this paper is to verify the various coupling relations and sum rules [5]} required to ensure these cancellations in a general Goldberger-Wise-stabilized Randall-Sundrum I model, report how most of these rules may be proved in full generality, and (in the next section) numerically demonstrate leading \(\mathcal {O}(s)\)  growth of the matrix element to second-order in a solvable warped stabilized model.
